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3400000544 = 25179764433
BaseRepresentation
bin1100101010100111…
…1110010000100000
322202221200220221002
43022221332100200
523430400004134
61321213451132
7150153346013
oct31251762040
98687626832
103400000544
111495236806
127aa7a0aa8
13422526155
142437ab37a
1514d75787e
hexcaa7e420

3400000544 has 48 divisors (see below), whose sum is σ = 7160679288. Its totient is φ = 1583480832.

The previous prime is 3400000531. The next prime is 3400000573. The reversal of 3400000544 is 4450000043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3111408400 + 288592144 = 55780^2 + 16988^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20552 + ... + 84984.

Almost surely, 23400000544 is an apocalyptic number.

3400000544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400000544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580339644).

3400000544 is an abundant number, since it is smaller than the sum of its proper divisors (3760678744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3400000544 is a wasteful number, since it uses less digits than its factorization.

3400000544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64557 (or 64549 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 3400000544 is about 58309.5236132143. The cubic root of 3400000544 is about 1503.6946764020.

Adding to 3400000544 its reverse (4450000043), we get a palindrome (7850000587).

The spelling of 3400000544 in words is "three billion, four hundred million, five hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 17 32 34 68 97 136 194 272 388 544 776 1552 1649 3104 3298 6596 13192 26384 52768 64433 128866 257732 515464 1030928 1095361 2061856 2190722 4381444 6250001 8762888 12500002 17525776 25000004 35051552 50000008 100000016 106250017 200000032 212500034 425000068 850000136 1700000272 3400000544